Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 366/95, 549/4248 quickly i.e. 1098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 366/95, 549/4248 is 1098.
LCM(366/95, 549/4248) = 1098
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 366/95,549/4248
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 366,549
Least Common Multiple of Numerators i.e. LCM of 366,549 is 1098.
GCF of Denominators means GCF of 95,4248 as per the given fractions.
GCF of 95,4248 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 366,549
3 | 366, 549 |
61 | 122, 183 |
2, 3 |
∴ So the LCM of the given numbers is 3 x 61 x 2 x 3 = 1098
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 366,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,549) = 183
common factors(in case of two or more numbers have common factors) = 1
GCF(366,549) x common factors =183 x 1 = 183
LCM(366,549) = ( 366 × 549 ) / 183
LCM(366,549) = 200934 / 183
LCM(366,549) = 1098
Lets's calculate GCF of 95,4248
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1098/1
Therefore the LCM of Fractions 366/95,549/4248 is 1098
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 4248
List of positive integer factors of 4248 that divides 4248 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,59,72,118,177,236,354,472,531,708,1062,1416,2124,4248
Greatest Common Factor
We found the factors 95,4248 . The biggest common factor number is the GCF number.
So the greatest common factor 95,4248 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 366/95, 549/4248?
Answer: LCM of Numerators as per given numbers 366/95, 549/4248 is
LCM of Numerators i.e. for 366,549 is 1098
GCF of denominators i.e. for 95,4248 is 1.
Thus, LCM of Fractions is 1098.Finally, LCM of Fractions for 366/95, 549/4248 is 1098.